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Finding the Fourth Proportional to 759.30, 1,138.59 and 447.09

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Solution

The fourth proportional to 759.30, 1,138.59 and 447.09 is: 670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.30 : 1,138.59 = 447.09 : x
  2. Step 2: Convert to fraction form
    759.30/1,138.59 = 447.09/x
  3. Step 3: Cross multiply
    759.30x = 1,138.59 × 447.09
  4. Step 4: Simplify right side
    759.30x = 509,052.20
  5. Step 5: Solve for x
    x = 509,052.20/759.30
  6. Step 6: Final answer
    x = 670.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.